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Simplifying 6r + -38 = -5(-2r + 2) Reorder the terms: -38 + 6r = -5(-2r + 2) Reorder the terms: -38 + 6r = -5(2 + -2r) -38 + 6r = (2 * -5 + -2r * -5) -38 + 6r = (-10 + 10r) Solving -38 + 6r = -10 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -38 + 6r + -10r = -10 + 10r + -10r Combine like terms: 6r + -10r = -4r -38 + -4r = -10 + 10r + -10r Combine like terms: 10r + -10r = 0 -38 + -4r = -10 + 0 -38 + -4r = -10 Add '38' to each side of the equation. -38 + 38 + -4r = -10 + 38 Combine like terms: -38 + 38 = 0 0 + -4r = -10 + 38 -4r = -10 + 38 Combine like terms: -10 + 38 = 28 -4r = 28 Divide each side by '-4'. r = -7 Simplifying r = -7
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